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Dive into the research topics where Eva A. Gallardo-Gutiérrez is active.

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Featured researches published by Eva A. Gallardo-Gutiérrez.


Proceedings of the American Mathematical Society | 2008

Common hypercyclic vectors for families of operators

Eva A. Gallardo-Gutiérrez; Jonathan R. Partington

We provide a criterion for the existence of a residual set of common hypercyclic vectors for an uncountable family of hypercyclic operators which is based on a previous one given by Costakis and Sambarino. As an application, we get common hypercyclic vectors for a particular family of hypercyclic scalar multiples of the adjoint of a multiplier in the Hardy space, generalizing recent results by Abakumov and Gordon and also Bayart. The criterion is applied to other specific families of operators.


Transactions of the American Mathematical Society | 2008

Composition operators on Hardy spaces on Lavrentiev domains

Eva A. Gallardo-Gutiérrez; María J. González; Artur Nicolau

In this note, composition operators on Bergman spaces of a simply connected domain are studied characterizing boundedness and compactness of such operators whenever the domain is Lavrentiev.


Concrete Operators | 2016

An introduction to Rota’s universal operators: properties, old and new examples and future issues

Carl C. Cowen; Eva A. Gallardo-Gutiérrez

Abstract The Invariant Subspace Problem for Hilbert spaces is a long-standing question and the use of universal operators in the sense of Rota has been an important tool for studying such important problem. In this survey, we focus on Rota’s universal operators, pointing out their main properties and exhibiting some old and recent examples.


Journal of The London Mathematical Society-second Series | 2015

The Linear Fractional Model Theorem and Aleksandrov-Clark measures

Eva A. Gallardo-Gutiérrez; Pekka Nieminen

A remarkable result by Denjoy and Wolff states that every analytic self-map. of the open unit disc D of the complex plane, except an elliptic automorphism, has an attractive fixed point to which the sequence of iterates {phi(n)}(n >= 1) converges uniformly on compact sets: if there is no fixed point in D, then there is a unique boundary fixed point that does the job, called the Denjoy-Wolff point. This point provides a classification of the analytic self-maps of D into four types: maps with interior fixed point, hyperbolic maps, parabolic automorphism maps and parabolic non-automorphism maps. We determine the convergence of the Aleksandrov-Clark measures associated to maps falling in each group of such classification


Transactions of the American Mathematical Society | 2012

Interpolating Blaschke products and angular derivatives

Eva A. Gallardo-Gutiérrez; Pamela Gorkin

We show that to each inner function, there corresponds at least one interpolating Blaschke product whose angular derivatives have precisely the same behavior as the given inner function. We characterize the Blaschke products invertible in the closed algebra H-infinity[(b) over bar : b has finite angular derivative everywhere]. We study the most well-known example of a Blaschke product with infinite angular derivative everywhere and show that it is an interpolating Blaschke product. We conclude the paper with a method for constructing thin Blaschke products with infinite angular derivative everywhere.


Complex Variables and Elliptic Equations | 2007

Composition operators on Bergman spaces on Lavrentiev domains

Eva A. Gallardo-Gutiérrez; María J. González

In this note, composition operators on Bergman spaces of a simply connected domain are studied characterizing boundedness and compactness of such operators whenever the domain is Lavrentiev. §Dedicated to Professor Peter L. Duren on the occasion of his 70th birthday.


Journal of Functional Analysis | 2006

A new class of operators and a description of adjoints of composition operators

Carl C. Cowen; Eva A. Gallardo-Gutiérrez


Journal de Mathématiques Pures et Appliquées | 2011

Minimal invariant subspaces for composition operators

Eva A. Gallardo-Gutiérrez; Pamela Gorkin


Proceedings of the London Mathematical Society | 2013

Locally univalent functions, VMOA and the Dirichlet space

Eva A. Gallardo-Gutiérrez; María J. González; Fernando Pérez-González; Christian Pommerenke; Jouni Rättyä


Mathematische Annalen | 2015

Weighted composition operators on the Dirichlet space: boundedness and spectral properties

Isabelle Chalendar; Eva A. Gallardo-Gutiérrez; Jonathan R. Partington

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Daniel H. Suárez

University of Buenos Aires

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Valentin Matache

University of Nebraska Omaha

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Artur Nicolau

Autonomous University of Barcelona

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Dmitry V. Yakubovich

Autonomous University of Madrid

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